Search a number
-
+
112128 = 29373
BaseRepresentation
bin11011011000000000
312200210220
4123120000
512042003
62223040
7644622
oct333000
9180726
10112128
1177275
1254a80
133c063
142cc12
1523353
hex1b600

112128 has 40 divisors (see below), whose sum is σ = 302808. Its totient is φ = 36864.

The previous prime is 112121. The next prime is 112129. The reversal of 112128 is 821211.

Adding to 112128 its reverse (821211), we get a palindrome (933339).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1500 + ... + 1572.

2112128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151404).

112128 is an abundant number, since it is smaller than the sum of its proper divisors (190680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112128 is an frugal number, since it uses more digits than its factorization.

112128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 78 counting only the distinct ones).

The product of its digits is 32, while the sum is 15.

The square root of 112128 is about 334.8551925833. The cubic root of 112128 is about 48.2212012812.

The spelling of 112128 in words is "one hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 438 512 584 768 876 1168 1536 1752 2336 3504 4672 7008 9344 14016 18688 28032 37376 56064 112128